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3900514644 = 2232138334433
BaseRepresentation
bin1110100001111101…
…0010000101010100
3101001211111200012100
43220133102011110
530442012432034
61443013322100
7165441553545
oct35037220524
911054450170
103900514644
111721814424
1290a336330
134a212b240
142900584cc
1517c673099
hexe87d2154

3900514644 has 36 divisors (see below), whose sum is σ = 10618068916. Its totient is φ = 1200158208.

The previous prime is 3900514621. The next prime is 3900514669. The reversal of 3900514644 is 4464150093.

3900514644 is a `hidden beast` number, since 3 + 9 + 0 + 0 + 5 + 1 + 4 + 644 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 220879044 + 3679635600 = 14862^2 + 60660^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3900514599 and 3900514608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4166749 + ... + 4167684.

Almost surely, 23900514644 is an apocalyptic number.

It is an amenable number.

3900514644 is an abundant number, since it is smaller than the sum of its proper divisors (6717554272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3900514644 is a wasteful number, since it uses less digits than its factorization.

3900514644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8334456 (or 8334451 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3900514644 is about 62454.1002977387. The cubic root of 3900514644 is about 1574.1301512790.

The spelling of 3900514644 in words is "three billion, nine hundred million, five hundred fourteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 8334433 16668866 25003299 33337732 50006598 75009897 100013196 108347629 150019794 216695258 300039588 325042887 433390516 650085774 975128661 1300171548 1950257322 3900514644